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46280 = 2351389
BaseRepresentation
bin1011010011001000
32100111002
423103020
52440110
6554132
7251633
oct132310
970432
1046280
1131853
1222948
13180b0
1412c1a
15daa5
hexb4c8

46280 has 32 divisors (see below), whose sum is σ = 113400. Its totient is φ = 16896.

The previous prime is 46279. The next prime is 46301. The reversal of 46280 is 8264.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 24964 = 146^2 + 158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 564.

246280 is an apocalyptic number.

46280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700).

46280 is an abundant number, since it is smaller than the sum of its proper divisors (67120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46280 is a wasteful number, since it uses less digits than its factorization.

46280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 46280 is about 215.1278689524. The cubic root of 46280 is about 35.9030312227.

Adding to 46280 its product of nonzero digits (384), we get a palindrome (46664).

It can be divided in two parts, 46 and 280, that multiplied together give a triangular number (12880 = T160).

The spelling of 46280 in words is "forty-six thousand, two hundred eighty".